{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fix python path if working locally\n",
    "from utils import fix_pythonpath_if_working_locally\n",
    "fix_pythonpath_if_working_locally()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from darts import TimeSeries\n",
    "from darts.models import NBEATSModel\n",
    "from darts.dataprocessing.transformers import Scaler, MissingValuesFiller\n",
    "from darts.metrics import mape, r2_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def display_forecast(pred_series, ts_transformed, forecast_type, start_date=None):\n",
    "    plt.figure(figsize=(8,5))\n",
    "    if (start_date):\n",
    "        ts_transformed = ts_transformed.drop_before(start_date)\n",
    "    ts_transformed.univariate_component(0).plot(label='actual')\n",
    "    pred_series.plot(label=('historic ' + forecast_type + ' forecasts'))\n",
    "    plt.title('R2: {}'.format(r2_score(ts_transformed.univariate_component(0), pred_series)))\n",
    "    plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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174.337652 111.204745 \nL 174.56681 61.539499 \nL 175.025127 37.101128 \nL 175.483443 158.005093 \nL 175.712601 166.431574 \nL 175.941759 178.995073 \nL 176.170917 199.711705 \nL 176.400075 173.854026 \nL 176.858391 197.156952 \nL 177.08755 189.928997 \nL 177.316708 201.651425 \nL 177.545866 204.248232 \nL 177.775024 199.033591 \nL 178.004182 199.154495 \nL 178.23334 202.340052 \nL 178.462498 201.456927 \nL 178.691656 198.381761 \nL 178.920814 207.754447 \nL 179.149973 206.177439 \nL 179.379131 189.11421 \nL 179.608289 188.441353 \nL 180.066605 198.408045 \nL 180.754079 207.402249 \nL 180.983237 200.353022 \nL 181.212396 112.72393 \nL 181.441554 102.263109 \nL 181.89987 36.097099 \nL 182.129028 29.626109 \nL 182.587344 143.543928 \nL 183.274819 199.674908 \nL 183.503977 173.049752 \nL 183.733135 184.099323 \nL 183.962293 166.32644 \nL 184.191451 165.033294 \nL 184.649767 170.526539 \nL 184.878925 171.162599 \nL 185.337242 185.192716 \nL 185.5664 179.951792 \nL 185.795558 150.120052 \nL 186.024716 138.329287 \nL 186.253874 137.840415 \nL 186.483032 129.871266 \nL 187.170506 148.038401 \nL 187.399665 144.931695 \nL 187.857981 156.685663 \nL 188.087139 111.031274 \nL 188.316297 99.466547 \nL 188.545455 81.309926 \nL 188.774613 37.285112 \nL 189.003771 32.858976 \nL 189.232929 110.111353 \nL 189.462088 148.264439 \nL 189.920404 181.103008 \nL 190.149562 203.428188 \nL 190.37872 174.747664 \nL 190.607878 179.363042 \nL 190.837036 180.204113 \nL 191.066194 178.674415 \nL 191.524511 171.903793 \nL 191.753669 180.798119 \nL 191.982827 184.225484 \nL 192.211985 177.896424 \nL 192.441143 178.96879 \nL 192.899459 173.375667 \nL 193.128617 173.470288 \nL 193.357775 184.551399 \nL 193.586934 187.747469 \nL 193.816092 187.805293 \nL 194.04525 180.141033 \nL 194.274408 180.572082 \nL 194.503566 182.401411 \nL 194.732724 180.87697 \nL 194.961882 191.726787 \nL 195.19104 191.963338 \nL 195.649357 108.339847 \nL 195.878515 111.740928 \nL 196.107673 151.392172 \nL 196.336831 134.581264 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113.854119 \nL 207.33642 109.328106 \nL 207.565578 122.832553 \nL 207.794736 121.833781 \nL 208.023895 124.130956 \nL 208.253053 123.794528 \nL 208.482211 109.937882 \nL 208.711369 184.125607 \nL 208.940527 124.488411 \nL 209.169685 106.494747 \nL 209.398843 102.284135 \nL 209.628001 154.809023 \nL 209.857159 140.526585 \nL 210.315476 180.277707 \nL 210.544634 199.070388 \nL 211.00295 208.753219 \nL 211.232108 191.600626 \nL 211.461266 100.870085 \nL 211.919582 102.310419 \nL 212.14874 100.617763 \nL 212.377899 99.766179 \nL 212.836215 111.415013 \nL 213.065373 110.84729 \nL 213.294531 111.131152 \nL 213.523689 113.365247 \nL 213.752847 111.4045 \nL 213.982005 107.924568 \nL 214.211163 118.595657 \nL 214.440322 117.554832 \nL 214.66948 93.763034 \nL 215.127796 106.994133 \nL 215.356954 109.322849 \nL 215.586112 108.423954 \nL 215.81527 183.084781 \nL 216.044428 107.072984 \nL 216.273586 99.27205 \nL 216.502745 113.37576 \nL 216.731903 153.168935 \nL 216.961061 145.551985 \nL 217.419377 183.426466 \nL 217.877693 208.232806 \nL 218.106851 208.327427 \nL 218.336009 185.918139 \nL 218.565168 126.433388 \nL 219.023484 133.661343 \nL 219.252642 136.300203 \nL 219.4818 125.318969 \nL 219.710958 125.271659 \nL 219.940116 128.730564 \nL 220.398432 130.733364 \nL 220.856749 137.351542 \nL 221.085907 131.705853 \nL 221.315065 129.492784 \nL 221.544223 129.792416 \nL 221.773381 134.681141 \nL 222.231697 155.639581 \nL 222.460855 159.135283 \nL 222.690014 183.242482 \nL 222.919172 89.18971 \nL 223.606646 146.803078 \nL 223.835804 139.648717 \nL 224.29412 187.663362 \nL 224.523278 194.907086 \nL 224.752437 207.943688 \nL 224.981595 205.120843 \nL 225.210753 183.983676 \nL 225.439911 115.026362 \nL 225.669069 117.433928 \nL 225.898227 124.514695 \nL 226.127385 123.531693 \nL 226.356543 121.539406 \nL 226.585701 112.02479 \nL 226.81486 110.16392 \nL 227.044018 125.912976 \nL 227.273176 132.194725 \nL 227.502334 122.669595 \nL 227.731492 132.757191 \nL 227.96065 133.850584 \nL 228.189808 132.683598 \nL 228.418966 129.503298 \nL 228.648124 130.654514 \nL 228.877283 133.561466 \nL 229.106441 126.938031 \nL 229.564757 138.939064 \nL 229.793915 183.526344 \nL 230.023073 96.859227 \nL 230.252231 92.270133 \nL 230.710547 143.974977 \nL 230.939706 140.926094 \nL 231.168864 169.259676 \nL 231.856338 206.992226 \nL 232.085496 203.207407 \nL 232.314654 189.534745 \nL 232.543812 149.541816 \nL 232.77297 149.872988 \nL 233.002129 155.960239 \nL 233.231287 152.443511 \nL 233.689603 160.664981 \nL 234.377077 151.329092 \nL 235.064552 164.707379 \nL 235.29371 162.457513 \nL 235.522868 156.096913 \nL 235.752026 158.593843 \nL 235.981184 153.000721 \nL 236.210342 157.29544 \nL 236.4395 159.308754 \nL 236.668658 183.237225 \nL 236.897816 66.854017 \nL 237.585291 147.407598 \nL 237.814449 147.171047 \nL 238.272765 181.428923 \nL 238.731081 209.415562 \nL 238.960239 203.990654 \nL 239.189398 192.199889 \nL 239.418556 170.705267 \nL 239.647714 174.5006 \nL 239.876872 180.729782 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184.383185 \nL 251.105619 88.001697 \nL 251.334777 98.246994 \nL 251.563936 128.646457 \nL 251.793094 143.833046 \nL 252.022252 139.932579 \nL 252.25141 175.767463 \nL 252.480568 185.161176 \nL 252.709726 203.827696 \nL 252.938884 207.09736 \nL 253.3972 175.410008 \nL 253.626359 197.987509 \nL 253.855517 196.767956 \nL 254.084675 196.599742 \nL 254.313833 194.334107 \nL 254.542991 195.296082 \nL 254.772149 199.264886 \nL 255.001307 200.573803 \nL 255.230465 200.158524 \nL 255.459623 200.815611 \nL 255.91794 198.875891 \nL 256.147098 200.232118 \nL 256.376256 205.18918 \nL 256.605414 204.237719 \nL 256.834572 207.102617 \nL 257.06373 206.9712 \nL 257.292888 207.62303 \nL 257.522046 206.634771 \nL 257.751205 182.22794 \nL 257.980363 86.619187 \nL 259.355311 190.454667 \nL 259.584469 201.456927 \nL 259.813628 203.118043 \nL 260.271944 164.41826 \nL 260.501102 207.707137 \nL 260.73026 210.067392 \nL 260.959418 214.209667 \nL 261.188576 209.121187 \nL 261.417734 209.520696 \nL 261.646892 208.600775 \nL 261.876051 201.299227 \nL 262.105209 201.89849 \nL 262.563525 210.288174 \nL 262.792683 209.830841 \nL 263.021841 210.18304 \nL 263.250999 210.146243 \nL 263.480157 210.80333 \nL 263.709315 209.252605 \nL 263.938474 214.157101 \nL 264.167632 214.667 \nL 264.39679 213.3318 \nL 264.625948 212.706253 \nL 264.855106 174.200968 \nL 265.084264 113.091899 \nL 265.313422 106.258196 \nL 265.771738 132.100105 \nL 266.230055 168.917991 \nL 266.688371 198.108413 \nL 266.917529 202.029907 \nL 267.146687 183.56314 \nL 267.375845 134.875639 \nL 267.605003 189.871173 \nL 267.834161 197.54069 \nL 268.06332 194.008192 \nL 268.292478 196.068816 \nL 268.521636 195.685077 \nL 268.979952 202.439929 \nL 269.20911 200.505466 \nL 269.667426 207.344425 \nL 269.896584 207.418019 \nL 270.125743 205.415218 \nL 270.354901 200.579059 \nL 270.584059 200.794584 \nL 270.813217 200.663167 \nL 271.042375 201.793356 \nL 271.271533 200.11647 \nL 271.500691 195.353905 \nL 271.729849 170.673726 \nL 271.959007 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283.646071 111.756698 \nL 283.875229 108.855003 \nL 284.104387 115.467924 \nL 284.333545 110.353161 \nL 284.562704 109.49632 \nL 284.791862 129.298287 \nL 285.02102 132.50487 \nL 285.250178 124.961514 \nL 285.708494 121.760187 \nL 285.937652 109.985192 \nL 286.16681 118.879519 \nL 286.395968 57.707369 \nL 286.625127 40.454899 \nL 287.083443 53.312773 \nL 288.000075 189.718729 \nL 288.229233 139.080994 \nL 288.458391 130.270775 \nL 288.916708 88.911105 \nL 289.375024 71.248613 \nL 289.83334 75.979638 \nL 290.062498 73.566815 \nL 290.520814 88.217222 \nL 290.749973 98.473032 \nL 290.979131 96.307274 \nL 291.208289 103.619336 \nL 291.437447 115.615112 \nL 291.666605 111.204745 \nL 291.895763 103.598309 \nL 292.124921 102.410296 \nL 292.354079 99.608478 \nL 292.583237 132.646801 \nL 292.812396 65.524073 \nL 293.041554 34.798696 \nL 293.270712 40.228861 \nL 293.49987 53.549324 \nL 294.416502 186.291365 \nL 294.64566 137.214868 \nL 294.874819 112.108897 \nL 295.103977 34.320337 \nL 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306.561882 122.438301 \nL 306.79104 59.315917 \nL 307.020198 27.102895 \nL 307.249357 52.892237 \nL 307.478515 45.848267 \nL 307.936831 151.944125 \nL 308.165989 161.15911 \nL 308.395147 182.11755 \nL 308.853463 93.184798 \nL 309.082621 62.648661 \nL 309.31178 55.331343 \nL 309.540938 64.888013 \nL 309.770096 65.140334 \nL 309.999254 64.777622 \nL 310.228412 67.847532 \nL 310.45757 67.253525 \nL 310.686728 69.245813 \nL 310.915886 64.230926 \nL 311.145044 65.823705 \nL 311.374203 71.211816 \nL 311.603361 70.554729 \nL 312.061677 54.09602 \nL 312.290835 54.011913 \nL 312.519993 54.06448 \nL 312.749151 54.500785 \nL 312.978309 49.585776 \nL 313.207467 54.14333 \nL 313.436626 103.367014 \nL 313.665784 121.58146 \nL 313.894942 59.389511 \nL 314.1241 29.620852 \nL 314.353258 54.637459 \nL 314.582416 39.235346 \nL 315.040732 138.287234 \nL 315.26989 155.928699 \nL 315.499049 183.773408 \nL 315.728207 121.224004 \nL 315.957365 96.060209 \nL 316.186523 33.78941 \nL 316.415681 32.012648 \nL 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df = pd.read_csv('energy_dataset.csv', delimiter=\",\")\n",
    "df['time'] = pd.to_datetime(df['time'], utc=True)\n",
    "df['time']= df.time.dt.tz_localize(None)\n",
    "df_day_avg = df.groupby(df['time'].astype(str).str.split(\" \").str[0]).mean().reset_index()\n",
    "filler = MissingValuesFiller()\n",
    "scaler = Scaler()\n",
    "series = scaler.fit_transform(filler.transform(\n",
    "    TimeSeries.from_dataframe(df_day_avg, 'time', ['generation hydro run-of-river and poundage'])\n",
    "))\n",
    "series.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, val = series.split_after(pd.Timestamp('20170901'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### General model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_nbeats = NBEATSModel(\n",
    "    generic_architecture=True,\n",
    "    num_stacks=10,\n",
    "    num_blocks=1,\n",
    "    num_layers=4,\n",
    "    layer_widths=512,\n",
    "    input_length=30,\n",
    "    output_length=7,\n",
    "    n_epochs=100,\n",
    "    nr_epochs_val_period=1,\n",
    "    batch_size=800\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "6bf0206a57634333868c23352f3b3fea"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "error",
     "ename": "FileNotFoundError",
     "evalue": "[Errno 2] No such file or directory: '/Users/leotaftiu8/Desktop/Darts/darts/examples/.darts/checkpoints/torch_model_run/checkpoint_85.pth.tar'",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-7-a5bbdca0abd1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m model_nbeats.fit(\n\u001b[0m\u001b[1;32m      2\u001b[0m     \u001b[0mtraining_series\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mtrain\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m     \u001b[0mval_training_series\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mval\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0mverbose\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m )\n",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/utils/torch.py\u001b[0m in \u001b[0;36mdecorator\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m     63\u001b[0m         \u001b[0;32mwith\u001b[0m \u001b[0mfork_rng\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     64\u001b[0m             \u001b[0mmanual_seed\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_random_instance\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhigh\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mMAX_TORCH_SEED_VALUE\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 65\u001b[0;31m             \u001b[0mdecorated\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     66\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mdecorator\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/models/nbeats.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m    408\u001b[0m             \u001b[0mtraining_series\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    409\u001b[0m         \u001b[0mtraining_series\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_assert_univariate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 410\u001b[0;31m         \u001b[0msuper\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/utils/torch.py\u001b[0m in \u001b[0;36mdecorator\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m     63\u001b[0m         \u001b[0;32mwith\u001b[0m \u001b[0mfork_rng\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     64\u001b[0m             \u001b[0mmanual_seed\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_random_instance\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhigh\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mMAX_TORCH_SEED_VALUE\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 65\u001b[0;31m             \u001b[0mdecorated\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     66\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mdecorator\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/models/torch_forecasting_model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, training_series, target_series, val_training_series, val_target_series, verbose)\u001b[0m\n\u001b[1;32m    335\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    336\u001b[0m         \u001b[0;31m# Train model\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 337\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_train\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_loader\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mval_loader\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtb_writer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mverbose\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    338\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    339\u001b[0m         \u001b[0;31m# Close tensorboard writer\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/models/torch_forecasting_model.py\u001b[0m in \u001b[0;36m_train\u001b[0;34m(self, train_loader, val_loader, tb_writer, verbose)\u001b[0m\n\u001b[1;32m    460\u001b[0m                 \u001b[0mtb_writer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_scalar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"training/learning_rate\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_get_learning_rate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mepoch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    461\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 462\u001b[0;31m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_save_model\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_get_checkpoint_folder\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwork_dir\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmodel_name\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mepoch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    463\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    464\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mepoch\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnr_epochs_val_period\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/Desktop/Darts/darts/darts/models/torch_forecasting_model.py\u001b[0m in \u001b[0;36m_save_model\u001b[0;34m(self, is_best, folder, epoch)\u001b[0m\n\u001b[1;32m    523\u001b[0m             \u001b[0;31m# remove older files\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    524\u001b[0m             \u001b[0;32mfor\u001b[0m \u001b[0mchkpt\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mchecklist\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 525\u001b[0;31m                 \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mremove\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchkpt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    526\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mis_best\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    527\u001b[0m             \u001b[0mbest_name\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpath\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfolder\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'model_best_{0}.pth.tar'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mepoch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '/Users/leotaftiu8/Desktop/Darts/darts/examples/.darts/checkpoints/torch_model_run/checkpoint_85.pth.tar'"
     ]
    }
   ],
   "source": [
    "model_nbeats.fit(\n",
    "    training_series=train,\n",
    "    val_training_series=val,\n",
    "    verbose=True\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "[2020-11-04 15:59:09,089] WARNING | darts.timeseries | The inferred frequency does not match the value of the \"freq\" argument.\n",
      "\n"
     ]
    },
    {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "pred_series = model_nbeats.historical_forecasts(\n",
    "    series,\n",
    "    start=pd.Timestamp('20170901'), \n",
    "    forecast_horizon=7,\n",
    "    stride=5,\n",
    "    retrain=False,\n",
    "    use_full_output_length=True,\n",
    "    last_points_only=True,\n",
    "    verbose=True\n",
    ")\n",
    "display_forecast(pred_series, series['0'], '7 day', start_date=pd.Timestamp('20170901'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpretable model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_nbeats = NBEATSModel(\n",
    "    generic_architecture=False,\n",
    "    num_blocks=3,\n",
    "    num_layers=4,\n",
    "    layer_widths=512,\n",
    "    input_length=30,\n",
    "    output_length=7,\n",
    "    n_epochs=100,\n",
    "    nr_epochs_val_period=1,\n",
    "    batch_size=800\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "a59efb366df24a2a8bda799b36298c57"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Training loss: 0.0485, validation loss: 0.0466\n"
     ]
    }
   ],
   "source": [
    "model_nbeats.fit(\n",
    "    training_series=train,\n",
    "    val_training_series=val,\n",
    "    verbose=True\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=96.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "48ca03f7c4ba4f0d89108d8b22988217"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "[2020-11-04 15:59:38,082] WARNING | darts.timeseries | The inferred frequency does not match the value of the \"freq\" argument.\n",
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "pred_series = model_nbeats.historical_forecasts(\n",
    "    series,\n",
    "    start=pd.Timestamp('20170901'), \n",
    "    forecast_horizon=7,\n",
    "    stride=5,\n",
    "    retrain=False,\n",
    "    use_full_output_length=True,\n",
    "    last_points_only=True,\n",
    "    verbose=True\n",
    ")\n",
    "display_forecast(pred_series, series['0'], '7 day', start_date=pd.Timestamp('20170901'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}